We introduce a double complex that can be associated to certain Lie algebras, and show that its cohomology determines an obstruction to the existence of a half-flat SU(3)-structure. We obtain a classification of the 6-dimensional nilmanifolds carrying an invariant half-flat structure. © 2010 Springer-Verlag.
Conti, D. (2011). Half-flat nilmanifolds. MATHEMATISCHE ANNALEN, 350(1), 155-168 [10.1007/s00208-010-0535-1].
Half-flat nilmanifolds
CONTI, DIEGO
2011
Abstract
We introduce a double complex that can be associated to certain Lie algebras, and show that its cohomology determines an obstruction to the existence of a half-flat SU(3)-structure. We obtain a classification of the 6-dimensional nilmanifolds carrying an invariant half-flat structure. © 2010 Springer-Verlag.
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